Algebraic Topology van Allen Hatcher is an English-language textbook on algebraic topology. The book is suitable for use in a first-year graduate course or for self-study. This textbook offers a broad and accessible introduction to the core topics of algebraic topology.
The content covers fundamental topics such as the fundamental group, covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory. By emphasizing the geometric aspects of the field, the book supports the development of intuition. In addition, it contains many examples, exercises, and optional thematic chapters on less common topics, such as Bockstein and transfer homomorphisms, H-spaces, the Brown representability theorem, and Steenrod squares.
This textbook is suitable for use in a course or for independent study, and provides a comprehensive, clear, and in-depth treatment of the subject. As such, it is a valuable resource for both students and researchers who want to delve into algebraic topology.
Subjects: Geometry, Algebraic topology, MATHEMATICS / Geometry / General.